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AfilCa [17]
3 years ago
15

Line CD passes through points C (1,3) and D (4,-3). If the equation of the line is written in slope intercept form, y=my+b, what

is the value of b?
Mathematics
2 answers:
Lina20 [59]3 years ago
3 0

Answer:

b=5

Step-by-step explanation:

C(1,3) and point D(4,-3)

Since we want the equation in slope intercept form we must first calculate the slope (m):

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m=\frac{-3-3}{4-1}\\ \\m=\frac{-6}{3} \\\\m=-2

By point slope formula and using point C (1,3) we have:y-y_{1}=m(x-x_{1})\\\\y=m(x-x_{1})+y_{1}\\\\y=-2(x-1)+3\\\\y=-2x+2+3\\\\y=-2x+5


So the slope is -2 and the y -intercept (b) is 5.

patriot [66]3 years ago
3 0

Answer: B

Step-by-step explanation:

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Answer:

B. Multiply each x-value in the table by -1.

Step-by-step explanation:

A point reflected across the y-axis has the same y-value, but the x-value is replaced by its opposite. For example, (-2, -31) reflected across the y-axis becomes (2, 31).

The appropriate choice is ...

... B. Multiply each x-value in the table by -1.

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<em>Comment on the graph</em>

The purple points are the ones in the given table. The red points are the same with their x-coordinate multiplied by -1. You can see that they are the reflection of the purple points across the y-axis. The lines joining the points are to help you see the points and which data set they are in.

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A line is defined by the equation y=2/3x-6. The line passes through a point whose y-coordinate is 0. What is the x- coordinate o
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5 0
3 years ago
Geometry math question no Guessing and Please show work thank you
ANTONII [103]

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7 0
3 years ago
Round 1.3981 to 3 significant figures
Scorpion4ik [409]
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4 0
3 years ago
La edad de juan es un año menos que la tercera parte de la edad de la madre. si dentro de 5 años, la edad de la madre sera 10 añ
koban [17]

Usando un sistema de ecuaciones, se encuentra que Juan tiene 12 años e su madre tiene 39 años.

<h3>¿Qué es un sistema de ecuaciones?</h3>

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, las variables son:

  • Variable x: Edad de Juan.
  • Variable y: Edad de su madre.

La edad de juan es un año menos que la tercera parte de la edad de la madre, por eso:

x = \frac{y}{3} - 1

Dentro de 5 años, la edad de la madre sera 10 años mas que el doble de juan, por eso:

y + 5 = 2(x + 5) + 10

y + 5 = 2x + 20

Como x = \frac{y}{3} - 1:

y + 5 = \frac{2y}{3} + 18

3y + 15 = 2y + 54

y = 39

x = \frac{y}{3} - 1 = \frac{39}{3} - 1 = 13 - 1 = 12

Juan tiene 12 años e su madre tiene 39 años.

Puede-se aprender más a cerca de sistema de ecuaciones en brainly.com/question/20178040

#SPJ1

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2 years ago
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